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Finding the Fourth Proportional to 40,422, 55,784.08 and 22,517.02

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Solution

The fourth proportional to 40,422, 55,784.08 and 22,517.02 is: 31,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,422 : 55,784.08 = 22,517.02 : x
  2. Step 2: Convert to fraction form
    40,422/55,784.08 = 22,517.02/x
  3. Step 3: Cross multiply
    40,422x = 55,784.08 × 22,517.02
  4. Step 4: Simplify right side
    40,422x = 1,256,091,245.04
  5. Step 5: Solve for x
    x = 1,256,091,245.04/40,422
  6. Step 6: Final answer
    x = 31,074.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.